Basal ganglia calcification can affect balance, movement, coordination and other motor functions, so yes, this could be causing your balance problems. Of course there are also other potential causes that should be ruled out, but since this one is a known quantity, it seems the likely culprit.
Management of this problem can be tricky, but starting with a simple medication (meclizine) may possibly give you some relief. If not, there are others, but they have the potential to make things worse instead of better. Your doctor will know best how to help you manage the balance problem. Sometimes adaptation is the best route, although it can be frustrating at times.
I hope this is helpful to you. Good luck with this.
John Kenyon, EMT, CCT
Non-invasive cardiology tech, Emergency and Critical Care technician, Critical Incident Stress Mgmt. specialist